1) Evaluate lim -12. 3 9-x2 -3 Show every step.

Q: A cylindrical container with a circular base and open top must have a volume of 1000 m³. Find the…

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Q: Find a unit vector in the direction of the given vector

A: Follow the procedure given below.

Q: 2) Classify each of the polar graphs as line, circle, cardioid, limaçon, lemniscate, rose, or…

A: 1) First curve is Archimedes Curve. 2) Second curve is a Lemniscate. 3) Third curve is a Limacon.

Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: 5-10 Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates. 5.…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Consider the diagram shown below. Suppose that O = (0, 0) and A = (3.5, 0) and B = (2.91, 1.95). The…

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Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

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Q: When harvesting apples in a grove, the number of apples harvested increases at a rate of R(t) apples…

A: Here, the rate of harvesting increases at the rate R(t) per hour with t≥0

Q: 3. 2. 1 15. The graph of f is shown in the figure above. If , f(x)dx=2.3 and F'(x)= f(x), then F(3)-…

A: ∫13f(x)dx=2.3 and F'(x)=f(x)

Q: Write a triple integral, in spherical coordinates, that describes the volume of the lower hemisphere…

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Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.1, P(A U B) = 0.1.…

A: Solution - Given:-  P(A U B) = 0.1 ,  P(B) = 0.1  P(A) = ?

Q: Given the following velocity function of an object moving along a line, find the position function…

A: We know that if s(t) denote the position of any particle at a particular time then v(t) denotes it's…

Q: y" + y" – 4y' – 4 = 8x + 8 + 6e™

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Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: g Ca) : -8) (uring logarithmic differentiation) 2 +4 11

A: We can find the derivative using logarithmic differentiation as below.

Q: j(r) = e sech

A: The given function,      jr=esechr2+2r

Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: 2. Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

A: We need to find equation of tangent

Q: Question Suppose f is continuous on [3, 10] and differentiable on (3, 10). If 5 <f'(x) < 8 for all…

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

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Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

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Q: What is the volume of the solid formed by revolving the region bounded by 4y = x and 4x = y about…

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Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: The graph of e(t) -(2 sedt), 6 tant)) for 0st< can aino be described in the form y/(x). This problem…

A: We use the formula. Sec2t-tan2t=1

Q: A ball is thrown vertically upward from the top of the house 110 ft high with an initial velocity of…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: kindly solve for uts derivative. ty and show complete solution. Pls answer asap

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: 12

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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Q: 19x + 900 The average cost for a company to produce x units of a product is given by the function…

A: To find change in average cost as production goes from 150 to 151 units.

Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: A metal sheet is shaped as a region R on the plane defined by the following: 0 <x < 2, 0 < y <4- x².…

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Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=21-22, x-axis, y-axis and y=20 revolved about y-axis.

Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: If the marginal profit is P'(x)=x^3-2x+100 and the profit for selling 10 items is $2000, determine…

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Q: Find the nth derivative of y = In(16x2 – 9).

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Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

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Q: Use the transformation x = 2u + v and y=u+2v to evaluate where R is the triangular region with…

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Q: A tangent line to the curve c(t) - (- 4t - 5t + 2, t - 15t - 1) has slope 3 at the pointias) 2-1…

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Q: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

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